Only one of the following 5 statement is correct, choose the correct one Select one: O A. |A - B = |B– A|, for any two sets A.B. O B. (AN B)' = A'NB', for any two sets A,B. O C. løn A| = |ø|, for any set A. O D. ONA= A, for any set A. %3D O E. JAUB = |4|+|B|, for any two sets A,B.

Q: B. Illustrate the following sets above in Venn 1. A' 2. BUE 3. FnD

A: Ac =U\A ,where U is universal set. Since the Universal set is not given, Ac can not compute by…

Q: Consider the following sets. A = (3, 6, 9, 12, 15, 18} B = (4, 8, 12, 16) C= (3, 6, 9, 12} D = {1,…

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Q: Consider the following sets U= {1,2,3.4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is A-B' ? * O…

A: Given:- Consider the following sets  U= {1,2,3,4,5,6,7,8} A = {2,4,6} B= {1,2,4,6} To find:- A-B'

Q: Given the following definintion U= {a,b,c,d,e,f,g} A={a,c,e,g} B= {a,b,c,d} find A ∩ B

A: Given,U= {a,b,c,d,e,f,g}A={a,c,e,g}B= {a,b,c,d}

Q: 1. Which of the following sets are equal A={a,b,c,d} C={d, b, a,c} B={d,e,a,c} D={a,a,d,e.c.e} ing

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: To Find The outer and inner measure of the following sets: (a) Qn[0,1] (b) [0,1]\Q

A:

Q: Which of the following sets are equal? B = {d, e, a, c} A = {a, b, c, d} C = {d, b, a, c} D = {a, a,…

A: The given sets are A = {a, b, c, d}, B = {d, e, a, c} C = {d, b, a, c} and D = {a, a ,d, e, c, e}.It…

Q: Use the Venn diagram(or any other method)to show that: (f)E∪F=E∪Ec (e)F=FE∪FEc (g)DeMorgan’s laws…

A: The sample space S is represented in a large rectangle, events E and Fare represented in given…

Q: Show that if one event A is contained in another event B (i.e., A is a subset of B), then P(A) <…

A:

Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

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Q: Refer to the sets below. Which set represents (C-A)NB ? U = {0, 1,2, 3, 4, 5, 6, 7,8,9} A = {3, 4,…

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Q: Given the following sets, find the set (A U B) n (AUC). U= {1, 2, 3, . . , 10} A= {3, 6, 8, 10} B=…

A:

Q: Married International 4. 6. 8. 12

A: 1. The number of students from the U.S who were married is, 4

Q: Let X ∼ Bin(n, p), and let Y = n − X. Show that Y ∼ Bin(n, 1 − p).

A: Here X follows Binomial with parameters n and p. Here, Y=n-X. Then Y takes the values n-0, n-1,…

Q: Suppose n(ANB) = 3, n(AUB) = 38, and n(A) = 18. Use a Venn diagram to determine n(B). n(B) = %3D

A: Given n(A∩B) = 3,  n(A∪B) = 38andn(A) = 18

Q: The number of non-empty subsets of B is |{S:SC A, S = 3 and Sn B = 0}| = max {|S|: SC AUB, SNA| is…

A: Given that A and B are finite sets satisfying A=6, B=7, A∩B=2. Since, B=7. So, total number of…

Q: Given the following ultimate class frequencies, find the frequencies of positive class. (ABC) =149.…

A: Given: The ultimate class frequencies are as follows:…

Q: The followiny data is calculated frem a bolynomial 9 depree three, but there is some en in dato…

A: Take an arbitrary polynomial of degree three and then use the values given to find the exact…

Q: For the following Venn diagram, what is p(AUB)C}?

A: P(C) = 1 - P(C)P(C) = 1 - 0.42P(C) = 0.58   P(A∪B ∩ C) = 0.53

Q: Use the dlagram at the right for BRrercises 5 and 6. 5. Which of the following conclusions can you…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Draw appropriate Venn diagram for the following: (Aº n B“)

A: The Venn diagram depicting the sets E , A , B can be drawn as follows .

Q: Draw a Venn diagram so that N(U) = 15, n(S) = 10, n(T)= 4, n(SUT) = 13

A: We will use the formula: To find the number of elements which are in both S and T

Q: Let p, q,r E K be given with p an

A: Given, p, q, r∈K be given with p and q not both zero. To prove that the set of allxy∈∏ satisfying…

Q: A 12 7 22 11 27 17 28 23 8 В E 1 18 13 16 6 31 29 /24 26 /21 19/ 20 30 32 15 10 25 14 4 C 3.

A:

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A: Diseases given in set B belongs to infectious diseases i.e. set A. Diseases given in set C belongs…

Q: Based on the Venn diagram, the correct statement is Select one: а. п(А) + п(A)' # n(U) O b. n(A) +…

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Q: A' Based on the Venn diagram, the correct statement is Select one: O a. n(A) + n(A)' + n(U) O b.…

A:

Q: Consider a set S={1,2,3,4,5} and P(x)=x−110, where x is a member of S. Calculate E(S).

A: It is given that P(x)=(x-1)/10.

Q: Is this statement true or false.  Justify your answer. (Discrete Math)   For all sets A, B, and C,…

A:

Q: distinct arrangements are possible e

A: We have to find out the total number of arrangements.

Q: Consider the following subset S C R 1 -3 S = -2 -10 8 Is span(S) = R*? Explain your reasoning and…

A: See the attachment

Q: "A or B" is shown on a Venn diagram by O the area where A and B overlap. O The area outside of A and…

A: A or B represents A U B in Venn diagram as shaded region in the figure below-

Q: Which of the following is equal to C(200, 50) C(150, 50) О С(200,100) O C(200, 150) O C(150,100)

A: The formula for C(n,r) is evaluated as C(n,r) =n!n-r!·r! C200,50 = 200!200-50!·50! = 200!150!·50!

Q: Use the set - roster notation to indicate the elements in each of the following sets. V = {s ∈ Z| s…

A:

Q: Given the following sets, find the set A U (B n C). U={1, 2, 3, ..., 8} A = {1, 2, 3, 4} B= {2, 3,…

A: A set is a collection of elements. The elements that make up a set can be any kind of mathematical…

Q: * which following sets is of the de numerable ? [1,20) 6. 1.9,1.99,1.999, 1.9999,1.99999,. ...}

A: We are asked to find which is denumerable

Q: Q1. How many different subsets are in cach of the following sets? Justify your answer. (a) (0} (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.15, P(c) = 0.16, P(d) = 0.17, P(e) = 0.23, and P(f) = 0.18.…

A:

Q: How do I find A’ , Is It B,D and F ?

A: Given U = {a,b,c,d,e,f,g}A = {a,c,e,g}B = {a,b,c,d}A' is nothing but compliment of the set A which…

Q: Which of the following is NOT a subset of 2{a,b} × {a,b} C (b). Ø) C (a,b), (a,b) ) C (a,b}, a) C…

A: Given set

Q: A Venn diagram is used to illustrate the relationship between sets R, S, and T. The regions of the…

A:

Q: x E Keals

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Q: the following set is known : A - (1,2,3,4,5} B = (4,5,7,8,9} Determine : ANB? P(A) ? A-B? JAX BỊ A~…

A: Given: A = {1,2,3,4,5}B = {4,5,7,8,9} Also, we know that U=universal set which contains all the…

Q: the following ultimate class frequencies, find the frequencies of pósitive class. (АBy) %3D 738,…

A:

Q: Refer to the Venn Diagram shown below. Find K' U L'. K 11 2 18 14 8 20 10 17 19 A {18, 4, 20} в) {2,…

A: From given Venn diagram we find K' U L'.

Q: Consider the Venn diagram shown below.   Determine the following cardinalities. n(A)= ? n(C¯)= ?…

A:

Q: Which of the following is equivalent to the statement "If any book that any member has checked out…

A: The statement given is as follows: "If any book that any member has checked out is overdue, that…

Q: Given the following sets, determine the set An BC. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,…

A: Given sets  U ={ 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A= { 1,2,6,7,8,10} B= {2,3,4,8,9,12,15}

Q: Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m,…

A: Given- ξ = a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, P = b, e, c, j, m, n, R = c, l, m, n,…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.